KalonT81170 KalonT81170
  • 03-11-2022
  • Mathematics
contestada

The perimeter of a triangle ABC is 100 cm.The length of AB is 45 cm and the length of BC is 32 cm.What is the length ofCA?

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EsiahX71643 EsiahX71643
  • 03-11-2022

Recall that the perimeter of the triangle ABC is given by the following formula:

[tex]Perimeter=AB+BC+CA\text{.}[/tex]

Substituting the given data we get:

[tex]100\operatorname{cm}=45\operatorname{cm}+32\operatorname{cm}+CA\text{.}[/tex]

Solving the above equation for CA we get:

[tex]\begin{gathered} CA=100\operatorname{cm}-45\operatorname{cm}-32\operatorname{cm} \\ =23\operatorname{cm}\text{.} \end{gathered}[/tex]

Answer: The length of CA is 23cm.

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